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75 papers in math.GM · page 1
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Soft sets gain roughness and entropy measures
Roughness and entropy measures of a soft set
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Geometry rebuilt as a quotient of what measurements can distinguish
Recognition Geometry
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Directed graphs gain higher-order Q-analysis via clique complexes
Directed Q-Analysis and Directed Higher-Order Connectivity on Digraphs: A Quantitative Approach
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Khayyam's cubics always hide a third unused conic
Khayyam's Cubics and the Hidden Conic
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Mass integral with density g yields coarea formula
Physical derivation of the coarea formula and an elementary proof via gradient flow
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Barred arrangements without fixed blocks yield new r-deranged Bell numbers
Combinatorics of higher order degenerate r-deranged bell numbers with singletons
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Four-stage model extracts crack centerlines and junctions at 0.991 Dice
CrackMorph-XAI-Net: A Topology-Preserving and Explainable Framework for Automated Crack Morphology
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New integral generalizes the discrete Fourier transform
The Taylor Integral and a Generalization of the Discrete Fourier Transform
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Coframes classify linearizable third-order ODEs
Linearization Problem for Third-Order ODEs with Four- and Five-Dimensional Lie Symmetry Algebras under Contact Transformations
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Fixed-point iteration gives arctan any odd-order convergence
A fixed point iteration method for the arctangent with any odd order of convergence based on sine and cosine
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Fixed-point iteration reaches any odd arctan convergence order
A fixed point iteration method for the arctangent with any odd order of convergence based on sine and cosine
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Regular fuzzy graphs extremize the fuzzy Sombor index
Sharp Bounds and Extremal Fuzzy Graphs for the Fuzzy Sombor Index
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Convex contractions yield fixed points without continuity
Discontinuity at the fixed point in suprametric spaces
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Polynomial curves always have at least two effective dimensions
On the Constructive Dimension Spectrum of Polynomials
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Gaussian source yields exact scalar Casimir trace via Riesz reduction
A Quadratic-Form Representation of the Scalar Casimir Trace from Codimension-Three Riesz Reduction
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Gaussian source quadratic energy equals scalar Casimir trace
A Quadratic-Form Representation of the Scalar Casimir Trace from Codimension-Three Riesz Reduction
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New recurrence unifies bit sequences and tangent coefficients
Extended Central Factorial Numbers and the Flickering Operator
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Weniger delta transform converges for superfactorially divergent series
Asymptotic Convergence of Weniger's $\delta$-Transformation for a Class of Superfactorially Divergent Stieltjes Series
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REF-based hierarchy curbs fuzzy rule explosion in SBAR
Hierarchical similarity-based approximate reasoning with restricted equivalence function
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McShane-Whitney extensions hold with left-continuous φ only
A revised and extended version of McShane-Whitney extensions for fuzzy Lipschitz maps
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Bounded quasi-arithmetic mean families close under their sharp bounds
Lattice-like property of quasi-arithmetic means: revisited
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Fuzzy relations stay useful for clustering with small transitivity error
Measuring and aggregating {\epsilon}-T-transitive fuzzy relations
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Fractional manifold harmonics enable continuous spectral analysis on point clouds
Manifold Fractional Harmonic Transform for 3D Point Clouds
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Congruence on (F_n-1)/4 separates prime Fermat numbers
Fermat Numbers: Pseudoprimality and Primality Constraints
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Two polynomial families approach 1 at rates 4^{1-n} and 9^{1-n}
Right edge rates of the zeros of $\widetilde{\Xi}_n$ and $\widetilde{\Lambda}_n$
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Over/under/off masses introduced for information fusion
Introduction of Over/Under/Off Masses
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Acute lattice triangles have lattice centers for perimeters 6 or >=8
Lattice triangles whose centers are lattice points
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4xn Chomp P-positions obey unique row extensions
Structural Conjectures for 4 x n Chomp: Unique Extension, Asymptotic Ratios, and Period-112 Geometry
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Sphere curves share one mean distance but vary in the reverse
Curve Closest to Sphere
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Measles resurgence in Bangladesh tied to vaccination gaps
Measles Resurgence in Bangladesh, 2026: A Situational Analysis for Urgent Public Health Response
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Cesaro-adapted scale proves generalised summation theorems
Introduction to generalised Cesaro convergence III
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Remainder Cesaro products define the Gamma function naturally
Introduction to generalised Cesaro convergence II
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Weighted prime sum bound yields Chebyshev bounds on π(x)
The $S$-$E$ route to the Chebyshev bounds for the prime-counting function
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Weighted graphs are star-convex exactly when a leaf tree inside them is
On Weighted Star--Convex Graphs
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Generalized Cesaro methods sum divergent series
Introduction to generalised Cesaro convergence I
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Dhaka and Barishal need distinct climate features for dengue forecasts
Climate-Driven Dengue Forecasting in Bangladesh: Division-Specific Feature-Set Design and Lag Structure
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Polynomial Galileo sequences reduce to scaled power differences
Structure and Growth of Galileo Sequences
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Three axioms couple measure with idempotent projection and relation
Projection, Measure, and Idempotent Relations: Independent Axioms and a Fixed-Point Coupling Law
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Multiple generating function for multivariate Laguerre polynomials
A note on the multiple generating functions for multivariate Laguerre polynomials
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Double-root condition defines derivatives for polynomials before limits
A Limit-Free Algebraic-Geometric Construction of the Derivative with a Foundational Model in the Class of Polynomial Functions
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All n ≤ 10000 that are differences of rational fourth powers are listed
Integers representable as a difference of two rational fourth powers
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Max baskets equals largest divisor of N below (1+sqrt(1+8N))/2
The Apple Pear Basket Problem: A Combinatorial Exploration
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Modified Fubini theorem restores full power for Riemann integrals
On Fubini type theorems for the Riemann integral
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Riemann integrals gain Fubini-like power via modified iteration
On Fubini type theorems for the Riemann integral
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The paper introduces an exact identity expressing the Riemann zeta function at exponent q…
A Nonlinear Deficiency Identity for the Riemann Zeta Function with Optimal Approximation Rates
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RH equivalent to condition on Salem integral equation
A new equivalence to the Riemann Hypothesis by means of the Salem integral equation
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Conditions for concentric circles through vertices of two regular n-gons
Concentric Circles Each Passing Through One Vertex of Each of Two Regular Polygons
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Iterative equations admit bounded C^n solutions
Higher regularity of solutions of an iterative functional equation
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Four coframes classify nonlinear ODEs with five symmetries
Equivalence Problem for Non-Linearizable Fourth-Order ODEs with Five-Dimensional Lie Symmetry subalgebra via Inductive Cartan Equivalence Method
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Iterated polynomials from linear starts match base zero distribution
Structure and Zero Asymptotics of Differential Operators Associated with ${\Xi}_n$ and ${\Lambda}_n$